SOLUTION: the square root of 300 minus the square root of 12 minus the square root of 3

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Question 144499: the square root of 300 minus the square root of 12 minus the square root of 3
Found 2 solutions by ankor@dixie-net.com, vleith:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28300%29+-+sqrt%2812%29+-+sqrt%283%29
:
factor inside the radicals to reveal the perfect squares that are lurking inside there.
sqrt%28100%2A3%29+-+sqrt%284%2A3%29+-+sqrt%283%29
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Extract the square root of these perfect squares
10%2Asqrt%283%29+-+2%2Asqrt%283%29+-+sqrt%283%29
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Now we have like terms, just do the math
7%2Asqrt%283%29
:
:
you can check this a on calc:
enter: 7%2Asqrt%283%29 = 12.124355...
:
enter:
sqrt%28300%29+-+sqrt%2812%29+-+sqrt%283%29 = 12.123355...

Answer by vleith(2983) About Me  (Show Source):